From pedigreed fast-food joints to nouveau chophouses, the battle for patty supremacy rages on. NY Timeout tracks down 20 contenders to add to your list. By the Food & Drink staff Coppelia With every buzzy new eatery flaunting its own chefly burger, pricey patties are on the rise. But Julian Medina bucks the trend with his affordable entrant, the Frita Cubana, at this 24-hour Latin diner. He doesn’t skimp either—the jaw-stretching stack features airy chicharróns and spiced roasted pork, piled atop a plump Swiss-covered burger made with sirloin, short rib and skirt steak. Pickles, red onion, crisp Boston lettuce and fresh tomato slices offset the richness, a slick of sambal-spiked mayo adds some zip, and a golden-brown potato bun holds it all together. 207 W 14th St between Seventh and Eighth Aves (212-858-5001). $8.95. Photograph: Virginia Rollison Burger on Smith In 2009, chef Kyle Huebbe won a Brooklyn Paper contest with his tweaked cheeseburger recipe, laced with horseradish-chive aioli and topped with sharp cheddar. That award-winning creation now has pride of place on the menu at the new Cobble Hill joint, where Huebbe shares the kitchen with Blessing Schuman-Strange. The burger is built around a custom blend of grass-fed brisket more »